Tri-Sasaki 7-metrics fibered over the QK limit of the Plebanski-Demianski metrics

Details Tri-Sasaki 7-metrics fibered over the QK limit of the Plebanski-Demianski metrics Tri-Sasaki 7-metrics fibered over the QK limit of the Plebanski-Demianski metrics

2007-01-13

arxiv.org/abs/hep-th/0701126v3

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures, two references corrected

Scientific paper

We consider a family of conical hyperkahler 8-metrics and we find the corresponding tri-Sasaki 7-metrics. We find in particular, a 7-dimensional fibration over the AdS-Kerr-Newmann-Taub-Nut solutions which is tri-Sasaki, and we consider several limits of the parameters of this solution. We also find an squashed version of these metrics, which is of weak $G_2$ holonomy. Construction of supergravity backgrounds is briefly discussed, in particular examples which do not possess $AdS_4$ near horizon limit.

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